CONTENTS -- Preface -- Topics on Mathematics for Smart Systems -- A Phenomenological 3D Model Describing Stress-Induced Solid Phase Transformations with Permanent Inelasticity F. Auricchio, A. Reali and U. Stefanelli -- 1. Introduction -- 2. 3D phenomenological model for stress-induced solid phase transformation with permanent inelasticity -- 2.1. Time-continuous frame -- 3. Time-discrete frame -- 3.1. Solution algorithm -- 4. Numerical results -- 4.1. Uniaxial tests -- 4.2. Biaxial tests -- 5. Conclusions -- Acknowledgements -- References -- Numerical Analysis of a Frictionless Piezoelectric Contact Problem Arising in Viscoelasticity M. Barboteu, J. R. Ferncindez and Y. Ouafik -- 1. Introduction -- 2. Mechanical and variational formulations -- 3. Fully discrete approximations -- 4. Numerical results -- 4.1. Numerical algorithm -- 4.2. Numerical results in a two-dimensional example -- Acknowledgement -- References -- A Stabilized MITC6 Triangular Shell Element L. Beiriio da Vezga, D. Chapelle and I. Paris -- 1. Introduction -- 2. The hyperbolic triangle test problem -- 2.1. MITC6a spurious membrane modes -- 2.2. Displacement-based and MITCGa solutions -- 3. Improving the MITCGa element -- 4. Numerical results for the stabilized MITC6a element -- 4.1. Hyperbolic triangle -- 4.2. Free axisymmetric hyperboloid -- 5. Concluding remarks -- References -- A New Family of C0 Finite Elements for the Kirchhoff Plate Model L. Beiriio da Veiga, J. Niiranen and R. Stenberg -- 1. Introduction -- 2. The Kirchhoff plate bending problem -- 2.1. The biharmonic formulation -- 2.2. The scaled mixed formulation -- 2.3. The variational formulation -- 2.4. Inconsistency between the Kirchhoff problem and the Reissner-Mindlin limit problem -- 2.5. The limit problem with Lagrange multipliers -- 3. The finite element formulation.

3.1. Elimination of the Lagrange multipliers -- 3.2. The Nitsche technique -- 3.3. The stabilized displacement formulation -- 4. A-priori error estimates -- 5. A-posteriori error estimates -- 6. Numerical results -- 6.1. A-priori test - semi-infinite free boundary plate -- 6.2. A-posteriori test - simply supported L-domain -- References -- Modeling and Simulation of Piezoelectric-Active Control of Wind-Induced Vibrations on Beams M. Betti, C. C. Baniotopoulos and G. E. Stavroulakis -- 1. Introduction -- 2. Finite element modeling of the electromechanical system -- 3. Case study -- 3.1. Numerical model -- 3.2. Sinusoidal load -- 3.3. Wind load -- 4. Conclusion -- Acknowledgments -- Appendix A. Material properties of the host beam structure -- Appendix B. Piezoelectric constitutive matrices -- References -- A Numerical Library for Shells Described by the Intrinsic Geometric Modeling via the Oriented Distance Function J. Cagnol and V. Sansalone -- 1. Introduction -- 2. Overview of the Non-Uniform Rational B-Splines -- 2.1. NURBS Curves -- 2.2. NURBS Surfaces -- 3. Intrinsic Geometric Modeling -- 3.1. The Oriented Distance Function -- 3.2. Tangential Differential Calculw -- 3.3. More Tangential Operators and Spaces -- 4. Implementation -- 5. Numerical Simulations -- 5.1. Some Numerical Insights -- 5.2. Test Case: Circular Cylinder -- References -- A Contact Problem for Viscoelastic Materials with Long Memory Involving Damage M. Carnpo, J. R. Ferncindez and A. Rodriguez-Aros -- 1. Introduction -- 2. Problem statement and variational formulation -- 3. Fully discrete approximation: error estimates -- 4. Numerical example -- Acknowledgement -- References -- Memory Effects Arising in the Homogenization of Composites with Inclusions L. Faella and S. Monsurrd -- 1. Introduction -- 2. Statement of the problem and main results.

3. Outline of the proof of the main results -- 3.1. Extension opemtor -- 3.2. A priori estimates -- 3.3. Oscillating test functions -- 3.4. Limit problems. -- Acknowledgments. -- References -- Numerical Experiments on the Controllability of the Ginzburg-Landau Equation R. Garzon and V. Valente -- 1. Introduction and physical motivation -- 2. Formulation of the controllability problem -- 3. The scalar controllability problem -- 4. The finite difference approximation -- 5. Numerical simulation -- 5.1. The case d=l -- 5.2. The case d=3 -- Acknowledgement -- References -- Homogenization of Thin Piezoelectric Perforated Shells M. Ghergu, G. Griso and B. Miara -- 1. Introduction -- 2. Two dimensional model of shell -- 2.1. Reference configuration -- 2.2. Perforated domain and equilibrium equations -- 3. Periodic unfolding operator -- 4. Main results -- Acknowledgements -- References -- Damaged Support Identification in Aluminium Curtain-Walls Using Neural Networks P. Nazarko, L. Ziemianski, Ch. Efstathiades, C. C. Baniotopoulos and G. E. Stavroulakis -- 1. Introduction -- 2. Formulation of the problem -- 3. Numerical computations -- 3.1. Model description -- 3.2. Connections -- 3.3. Results of the analysis -- 4. Applications of ANNs -- 4.1. Data preprocessing -- 4.2. Various size of the input vector -- 4.3. Networks generalization improvement -- 4.4. Identification of two damaged supports -- 5. Conclusion and final remarks -- Acknowledgments -- References -- Mathematical Results on the Stability of Quasi-Static Paths of Elastic-Plastic Systems with Hardening A. Petrov, J. A. C. Martins and M. D. P. Monteiro Marques -- 1. Introduction -- 2. Governing equations -- 3. Existence and uniqueness of solution for the dynamic and the quasi-static systems -- 4. Stability of quasi-static paths of elastic-plastic systems.

4.1. Definition of stability of a quasi-static path -- 4.2. Existence and uniqueness of solution for the elastic-visco-plastic systems -- 4.3. A priori estimates -- 4.4. Stability of a quasi-static path -- Acknowledgements -- References -- Mathematical Results on the Stability of Quasi-Static Paths of Smooth Systems N. V. Rebrova, J. A. C. Martins and V. A. Sobolev -- 1. Introduction -- 2. Sufficient conditions for the stability of the quasi-static path. -- 3. A mechanical problem with a convex potential energy -- 4. Final remarks -- Acknowledgments -- References -- Sensitivity Analysis of Acoustic Wave Propagation in Strongly Heterogeneous Piezoelectric Composite E. Rohan and B. Miara -- 1. Introduction -- 2. Problem setting -- 2.1. Definition of the strongly heterogeneous material -- 2.2. Problem formulation -- 3. Homogenized model -- 3.1. Coupled system of homogenized equations -- 4. Decoupling scales in the limit problems -- 4.1. Local problem in the inclusion -- 4.1.1. Particular solution A' -- 4.1.2. Spectral problem -- 4.1.3. Solution decomposition -- 4.2. Homogenized coefficients and the macro-model -- 4.2.1. Frequency-dependent coefficients -- 4.2.2. Coeficients related to the perforated matrix domain -- 4.3. Global equations - the macromodel -- 5. Sensitivity analysis of the spectral problem -- 5.1. Sensitivity of eigenvalue r -- 5.2. Sensitivity of eigenfunction Zr -- 6. Conclusion -- Acknowledgement. -- References -- New Results on the Stability of Quasi-Static Paths of a Single Particle System with Coulomb Friction and Persistent Contact F. Schmid, J. A. C. Martins and N. Rebrova -- 1. Introduction -- 2. Governing equations and definition of stability of the quasi-static path -- 3. Existence of solutions -- 4. Variation of the derivative of the quasi-static path -- 5. Stability of the quasi-static path -- References.

Numerical Experiments on Smart Beams and Plates G. E. Stavroulakis, D. G. Marinova, G. A. Foutsitzi, E. P. Hadjigeorgiou, E. C. Zacharenakis and C. C. Baniotopoulos -- 1. Introduction -- 2. Simplified modeling of composite smart structures -- 3. Controlled system -- 3.1. Linear Quadratic Regulator -- 3.2. H_2 Control -- 3.3. Uncertainty Modelling and Robust Control -- 3.4. H-infinity Control -- 3.5. Nonlinear and Intelligent Control -- 4. Inverse and Identification Problems -- 5. Representative numerical results -- 5.1. Vibration Suppression of a Smart Piezocomposite Beam -- 5.2. Damage Identification for a Plate in Bending using Genetic Algorithms -- Acknowledgments -- References -- On Modeling, Analytical Study and Homogenization for Smart Materials A. Timofte -- 1. Introduction -- 2. Shape Memory Alloys -- 3. Ferroelectric Materials -- 4. Homogenization for rate-independent systems -- 4.1. E problem -- 4.2. Two-scale homogenized problem -- Acknowledgments -- References -- The Cardiovascular System as a Smart System M. Tringelova, P. Nardinocchi, L. Teresi and A. Di Carlo -- 1. The Cardiovascular System and its Adaptability -- 1 .l. Structure and function of the heart -- 1.1.1. The myocardium -- 1.1.2. The cardiac cycle -- 1.2. The aorta as a prototype large vessel -- 2. Gross Mechanics of Bulk Growth -- 2.1. Kinematics: gross and refined motions -- 2.2. Dynamics: brute and accretive forces -- balance principle -- 2.3. Energetics -- 2.4. Constitutive issues: theory and recipes -- 2.4.1. Material indifference to change in observer -- 2.4.2. Dissipation principle -- 2.4.3. Constitutive assumptions: free energy and inner force -- 2.4.4. Constitutive assumptions: outer force -- 3. Mathematical Models of Adaptive Growth -- 3.1. Growth-induced residual stress in large arteries -- 3.2. Towards a gross mechanics of cardiac hypertrophy -- References.

Acknowledgements.